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74013616 = 2431372109
BaseRepresentation
bin1000110100101…
…01101110110000
312011021021121001
410122111232300
5122421413431
611202211344
71556051065
oct432255660
9164237531
1074013616
1138862586
1220953b54
1312445651
149b88c6c
15676ee61
hex4695bb0

74013616 has 60 divisors (see below), whose sum is σ = 153531840. Its totient is φ = 34525440.

The previous prime is 74013613. The next prime is 74013617. The reversal of 74013616 is 61631047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74013613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678970 + ... + 679078.

It is an arithmetic number, because the mean of its divisors is an integer number (2558864).

Almost surely, 274013616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74013616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76765920).

74013616 is an abundant number, since it is smaller than the sum of its proper divisors (79518224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74013616 is a wasteful number, since it uses less digits than its factorization.

74013616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 74013616 is about 8603.1166445655. The cubic root of 74013616 is about 419.8593935986.

The spelling of 74013616 in words is "seventy-four million, thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 31 37 62 74 109 124 148 218 248 296 436 496 592 872 1147 1369 1744 2294 2738 3379 4033 4588 5476 6758 8066 9176 10952 13516 16132 18352 21904 27032 32264 42439 54064 64528 84878 125023 149221 169756 250046 298442 339512 500092 596884 679024 1000184 1193768 2000368 2387536 4625851 9251702 18503404 37006808 74013616